Given: (1 + x2) dy/dx + 2sy = 4x2 and (0,0) is a solution to the curve
To find: equation of curve satisfying this differential equation
Re-writing the equation as
Assume 1+x2=t
2x dx=dt
IF=1+x2
Therefore, the solution of the differential equation is given by
Satisfying (0,0) in the curve equation to find c
0=0+c
c=0
therefore, the equation of curve is